2005/11/04 by S. Capitani, Stefano Capitani, K. Jansen +6 · 1 citation
Mathematics · Physics and Astronomy · #Distribution (mathematics) #Fermion #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat
paper · pdf · doi:10.1016/j.physletb.2006.02.047
published as Phys.Lett. B639 (2006) 520-526 · 15 pages, 3 figures
arxiv created 2005/11/04 · openalex publication_date 2006/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a first Wilson twisted mass fermion calculation of the matrix element between pion states of the twist-2 operator, which is related to the the lowest moment < x > of the valence quark parton distribution function in a pion. Using Wilson twisted mass fermions in the quenched approximation we demonstrate that < x > can be computed at small pseudoscalar meson masses down to values of order 250 MeV. We investigate the scaling behaviour of this physically important quantity by applying two definitions of the critical mass and observe a scaling compatible with the expected O(a2) behaviour in both cases. A combined continuum extrapolation allows to obtain reliable results for < x > at very small pseudoscalar meson masses, which previously could not be explored by lattice QCD simulations.